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81400302368 = 2571185338729
BaseRepresentation
bin100101111001111010…
…1100000101100100000
321210002221000210201122
41023303311200230200
52313201434133433
6101221134551412
75611114103540
oct1136365405440
9253087023648
1081400302368
1131581391a70
1213938968568
1378a328b0b8
143d22b29320
1521b63c3198
hex12f3d60b20

81400302368 has 96 divisors (see below), whose sum is σ = 200040140160. Its totient is φ = 31676405760.

The previous prime is 81400302349. The next prime is 81400302499. The reversal of 81400302368 is 86320300418.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082428 + ... + 2121156.

It is an arithmetic number, because the mean of its divisors is an integer number (2083751460).

Almost surely, 281400302368 is an apocalyptic number.

81400302368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81400302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100020070080).

81400302368 is an abundant number, since it is smaller than the sum of its proper divisors (118639837792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81400302368 is a wasteful number, since it uses less digits than its factorization.

81400302368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39610 (or 39602 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 81400302368 in words is "eighty-one billion, four hundred million, three hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 853 1232 1706 2464 3412 5971 6824 9383 11942 13648 18766 23884 27296 37532 38729 47768 65681 75064 77458 95536 131362 150128 154916 191072 262724 271103 300256 309832 426019 525448 542206 619664 852038 1050896 1084412 1239328 1704076 2101792 2168824 2982133 3408152 4337648 5964266 6816304 8675296 11928532 13632608 23857064 33035837 47714128 66071674 95428256 132143348 231250859 264286696 363394207 462501718 528573392 726788414 925003436 1057146784 1453576828 1850006872 2543759449 2907153656 3700013744 5087518898 5814307312 7400027488 10175037796 11628614624 20350075592 40700151184 81400302368